3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b. ​

hiii this is adddmath can anyone help with this please

Answers

Answer 1

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3


Related Questions

Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm​

Answers

Answer:

86 cm is the perimeter

Step-by-step explanation:

HELP ME PLEAAAAAAAAAASSSSSSSSE

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Answer:

jwjsjsjwujksikwpqñk1972

Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]

Write your answer in simplest radical form, units​

Answers

Answer:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.

Step-by-step explanation: I just had this problem on ixl and it gave me the answer

what 5/8x + 1/2 (1/4x + 10)? ​

Answers

5+3x/4




5x+1/2(1/4+10). Distributive property
5x+x/8+5. Combine like terms
5+3x/4
The answer is
3/4x + 5

Solution:
5/8x + 1/2 (1/4x + 10)
5/8x + 1/8x + 5
3/4x + 5

find the missing value so that the line passing through the points has the given slope.
(10, y) and (3, 4); m= - 2/7

Answers

Answer:

y = 2

Step-by-step explanation:

use slope formula:

(4 - y) / (3 - 10) = -2/7

4-y / -7 = -2 /7

cross-multiply:

7(4 - y) = (-7)(-2)

28 - 7y = 14

-7y = -14

y = 2

Five Saturnians are shown below. Bruce is frowning and has the same antennae as Eve. Abby and Cindy are both smiling but only one has three eyes. Dave, Eve, and Cindy all have the same number of eyes. Eve is pictured directly to the left of Dave. Which Saturnian is smiling and has curved antennae.

Answers

Answer:

! will edit once i get a response !

Step-by-step explanation:

do you have a picture? if so, please upload it

Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better

Answers

Answer:

She did better on the Math test.

Step-by-step explanation:

14/17 is 82 percent, and 31/19 is only about 80%.

If three points are coplanar, they must be collinear. Since the answer is false, state a counterexample.

Answers

Answer:

Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar

Step-by-step explanation:

Answer:

They could be on different lines or on no line, but in the same plane.

Step-by-step explanation:

Hope This Helps!!

(brainliest please, if possible)

In triangle ABC, point D is the centroid, and BD = 6. Find BE.

Answers

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

[tex]2x=6[/tex]

[tex]x=\dfrac{6}{2}[/tex]

[tex]x=3[/tex]

Now,

[tex]BE=BD+DE[/tex]

[tex]BE=6+x[/tex]

[tex]BE=6+3[/tex]

[tex]BE=9[/tex]

Therefore, the measure of side BE is 9 units.

obtenha os zeros da função
[tex]f(x) = 2x {}^{2} + 32[/tex]

Answers

———111111111111111111111111111111

A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.

Answers

Answer:

18 cm ;

2 cm

Step-by-step explanation:

Length of each adjacent side = 1 :3

If 1 side = 6 ; the possible values of the adjacent side ;

That is side 2 ÷

If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm

If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm

Hence, the two Possible values of the adjacent side = 18 cm or 2 cm

Need help with the rule transformation

Answers

[tex]T(x,y)=(x+3,y-2)[/tex]

Hope this helps.

What is BC in simplest radical form

Answers

Answer:

Step-by-step explanation:

Draw altitudes from A and D to get two 30°-60°-90° triangles.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

BC = 3√3 + 16 + 9√3 = 16 + 12√3

A recipe uses 3/8 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe. Then find the value of the ratio. PLEASE HELP

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:


[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]

Answers

The answer is 19/20
Hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]

Triangles are similar Find the value of x.
Please i need help Thank you in advanced ​

Answers

28 1/3

Step-by-step explanation:

The scale factor is 5/3

Multiply 17 by 5/3.

28 1/3

Answer:

x=28.33 or 28 1/3

Step-by-step explanation:

12/17=20/x

12x=340

x=28.33

HElp please thanks I’ll give Brainly

Answers

Answer:

3

Step-by-step explanation:

its 3 just trust me

when subtracting a negative, you add so it can be rewritten as -3 + 6
the answer is 3

What the rang of the following function is

Answers

Answer:

b

Step-by-step explanation:

Answer:

its 5

Step-by-step explanation:

a straight line has equation 4y-5x=2 work out the gradient of this line

Answers

Answer:

gradient = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

4y - 5x = 2 ( add 5x to both sides )

4y = 5x + 2 ( divide the terms by 4 )

y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form

with gradient m = [tex]\frac{5}{4}[/tex]

The table shows the number of tropical cyclones that formed during the hurricane
seasons over a 12-year period.
a. Find the probability to predict whether a future tropical cyclone in the Northern
Hemisphere is a hurricane. Round your answer to the nearest tenth.
about
%
b. Find the probability to predict whether a hurricane is in the Southern Hemisphere
Round your answer to the nearest tenth.
about
1%

Answers

Answer:

A.) is 46.2

B.) is 58.1

Step-by-step explanation:

Find the height of a cone that has a radius of 3 in and a volume of 96.91 in.

Answers

Answer:

thank you lil shawty

Step-by-step explanation:

Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)

Answers

Answer:

y = - [tex]\frac{5}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then

y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line

16
The sum of two numbers is 1130. Their difference is 470. Write a system of equations that
could be used to find the value of the two numbers then find the value of the smallest number
(1 Point)
300
330
180
500
17

Answers

Answer:

x = 800 and y = 330

Step-by-step explanation:

Let two numbers be x and y.

Sum of two numbers is 1130.

Their difference is 470.

So,

x+y=1130 ...(1)

x-y = 470 ...(2)

Add equation (1) and (2).

x+y+x-y = 1130+470

2x = 1600

x = 800

Put the value of x in equation (1)

800+y=1130

y = 1130-800

y = 330

So, the smallest number is 330 and the largest number is 800.

1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)

Answers

Answer:

A. Yup. A.

Step-by-step explanation:

pls help me solve surds , √75 ,√48, √12,√125,√28. pls help​

Answers

√75 = √(5²×3) = √5² √3 = 5√3 = 8.66

√48 = √(4²×3) = √4² √3 = 4√3 = 6.93

√12 = √(2²×3) = √2² √3 = 2√3 = 3.46

√125 = √(5²×3) = √5² √3 = 5√3 = 11.18

√28 = √(2²×7) = √2² √7 = 2√7 = 5.29
All the answers are rounded off to the nearest hundredth.

√75 = 5√3 = 8.66

√48 = 4√3 = 6.93

√12 = 2√3 = 3.46

√125 = 5√5 = 11.18

√28 = 2√7 = 5.29

How many degrees is Angle 1?
1
1
30
80

Answers

Answer:

angle 1 is 30 degrees

Answer:

80 is the correct ansqer

Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

Find the slope, y-intercept and write the equation for this Linear Relationship. ​

Answers

Answer:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.


Helpppp I’m marking brainliest

Answers

Answer:

y=x+6

tell me if its right

Answer:  y = x + 6

Step-by-step explanation:

A movie theater is located at (1,7) after walking 6 blocks to the movie theater you meet you friend at your friend's house. What ordered pair corresponds to the location of your friend's house

Answers

Answer:

(-5,1)

Step-by-step explanation:

Given the coordinate of the location of the theatre as (1,7)

If this was the coordinate after moving 6 blocks to your friend's house, then the coordinate of the location of my friend house will be gotten as thus;

C = (1-6, 7-6) (since he moved 6blocks)

C = (-5, 1)

Hence the required coordinate is (-5,1)

-8= -4+x
Solve for x

Answers

Answer:

-4 + x = - 8

x = - 8 +4

x = - 4

hope it helps :-

Answer:

-4=x or x=-4

Step-by-step explanation:

Move -4 to the other side by adding 4 on both sides:

-8+4=4-4+x

-4=x or x=-4

Hope this helps!

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